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Finding the Fourth Proportional to 11,668.59, 16,102.13 and 6,363.23

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Solution

The fourth proportional to 11,668.59, 16,102.13 and 6,363.23 is: 8,780.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668.59 : 16,102.13 = 6,363.23 : x
  2. Step 2: Convert to fraction form
    11,668.59/16,102.13 = 6,363.23/x
  3. Step 3: Cross multiply
    11,668.59x = 16,102.13 × 6,363.23
  4. Step 4: Simplify right side
    11,668.59x = 102,461,444.35
  5. Step 5: Solve for x
    x = 102,461,444.35/11,668.59
  6. Step 6: Final answer
    x = 8,780.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.